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Geometry With an Introduction to Cosmic Topology - 9780763754570

Un libro in lingua di Hitchman Michael P. edito da Jones & Bartlett Learning, 2008

  • € 179.00
  • Il prezzo è variabile in funzione del cambio della valuta d’origine

Hitchman (the College of Idaho) presents an introduction to the non-Euclidean geometry of cosmic topology (i.e. the size and shape of the universe) for undergraduate mathematics and physics majors who have completed courses in multivariable calculus. The mathematical section of the text follows the Erlangen Program, which develops geometry in terms of a space and a group of transformation of that space. Thus, chapters discuss sequentially the complex plane, transformations of the plane, hyperbolic geometry, elliptic geometry, expansion of geometries to different curvature scales, the topology of surfaces, the relationship of topology of surfaces to geometry, the Gauss-Bonnet formula, quotient spaces, and the Dirichlet domain. The final chapter then turns to the present state of research in cosmic topology, discussing possible shapes of the universe, cosmic crystallography, and circles in the sky. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)

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